Unit

#### Description:

Students understand the principle of parallel slices in the plane, and understand Cavalieri’s principle as ageneralization of the principle of parallel slices.Students use Cavalieri’s principle to reason that the volume formula for a general cylinder is area of base×height.Teacher and Student versions of full lesson from engageNY

#### Subjects:

• Mathematics > General
• Mathematics > Geometry

#### Keywords:

Cavalieri’s principle

English

#### Access Privileges:

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#### Collections:

Teacher Resources
Update Standards?

#### CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

#### CCSS.Math.Practice.MP3: Common Core State Standards for Mathematics

Construct viable arguments and critique the reasoning of others.

#### CCSS.Math.Practice.MP4: Common Core State Standards for Mathematics

Model with mathematics.

#### CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

#### CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

#### CCSS.Math.Content.HSG-GMD.A.1: Common Core State Standards for Mathematics

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
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